The table shows the number of people who responded to a survey about their favorite style of music.What percentage of the total sample indicated that Jazz is their favourite style of music?

Options

A. `6 %`
B. `8 %`
C. `22 %`
D. `12 %`

Answer

To find the percentage of the total sample that indicated Jazz as their favorite style of music, we will follow these steps:

### Step 1: Identify the number of respondents who like Jazz
From the data provided in the table, we need to sum the number of respondents in each age group who indicated Jazz as their favorite style of music.

- For the 15-20 age group: 4 respondents
- For the 21-30 age group: 1 respondent
- For the 31+ age group: 11 respondents

**Total respondents who like Jazz = 4 + 1 + 11 = 16**

### Step 2: Identify the total number of respondents
Next, we need to find the total number of respondents from all age groups.

- For the 15-20 age group: 33 respondents
- For the 21-30 age group: 33 respondents
- For the 31+ age group: 68 respondents

**Total respondents = 33 + 33 + 68 = 134**

### Step 3: Calculate the percentage of respondents who like Jazz
Now, we can calculate the percentage of respondents who indicated Jazz as their favorite style of music using the formula:

\[ \text{Percentage} = \left( \frac{\text{Number of Jazz respondents}}{\text{Total respondents}} \right) \times 100 \]

Substituting the values we found:

\[ \text{Percentage} = \left( \frac{16}{134} \right) \times 100 \]

### Step 4: Simplify the fraction
To simplify \( \frac{16}{134} \):

1. Divide both the numerator and denominator by 2:
- \( 16 \div 2 = 8 \)
- \( 134 \div 2 = 67 \)

So, we have:

\[ \text{Percentage} = \left( \frac{8}{67} \right) \times 100 \]

### Step 5: Calculate the decimal and convert to percentage
Now, we can calculate \( \frac{8}{67} \):

\[ \frac{8}{67} \approx 0.1194 \]

Now, multiply by 100 to convert to percentage:

\[ 0.1194 \times 100 \approx 11.94\% \]

### Step 6: Round the percentage
Finally, we can round 11.94% to the nearest whole number, which is approximately 12%.

### Final Answer
The percentage of the total sample that indicated Jazz as their favorite style of music is approximately **12%**.

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